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MR1020532 60E05 (62E10)
Letac, Gérard Le problème de la classification des familles exponentielles naturelles de ${\bf R}^d$ ayant une fonction variance quadratique. (French) [The problem of the classification of natural exponential families in ${\bf R}^n$ with a quadratic variance function] Probability measures on groups, IX (Oberwolfach, 1988), 192–216, Lecture Notes in Math., 1379, Springer, Berlin, 1989.
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